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Factoring Difference of Squares: Key Concepts and Techniques

Factoring Difference of Squares: Key Concepts and Techniques

Assessment

Interactive Video

Mathematics

9th - 12th Grade

Practice Problem

Hard

CCSS
HSA.APR.C.4, HSA.APR.A.1, HSA-REI.B.4B

+5

Standards-aligned

Created by

Lucas Foster

FREE Resource

Standards-aligned

CCSS.HSA.APR.C.4
,
CCSS.HSA.APR.A.1
,
CCSS.HSA-REI.B.4B
CCSS.RI.11-12.8
,
CCSS.RI.8.7
,
CCSS.RI.9-10.7
,
CCSS.RL.11-12.8
,
CCSS.RL.9-10.7
,

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is a necessary condition for a binomial to be factored as the difference of two squares?

There must be an addition sign between the terms

Both terms must be perfect cubes

The terms must be identical

Both terms must be perfect squares

Tags

CCSS.HSA.APR.C.4

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What does the expression a^2 - b^2 factor into?

(a + b) + (a - b)

(a + b)(a - b)

(a - b) + (b - a)

(a - b)(b - a)

Tags

CCSS.HSA.APR.C.4

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the expression x^2 - 49, what is the value of x when factored?

x - 7

x + 7

49

7

Tags

CCSS.HSA.APR.C.4

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the square root of 49 in the context of factoring the expression x^2 - 49?

9.8

7

49

14

Tags

CCSS.HSA.APR.C.4

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

How is 9y^4 factored in the expression 9y^4 - 100?

3y^2 + 10

9y^2 - 10

3y^2 - 10

3y + 10

Tags

CCSS.HSA.APR.C.4

6.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the square root of 100 in the context of factoring the expression 9y^4 - 100?

5

20

100

10

Tags

CCSS.HSA.APR.C.4

7.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result of factoring the expression 9y^4 - 100?

(9y + 10)(9y - 10)

(3y^2 + 10)(3y^2 - 10)

(9y^2 + 10)(9y^2 - 10)

(3y + 10)(3y - 10)

Tags

CCSS.HSA.APR.C.4

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